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I haven't decided on the precise area or topic yet, since there are so many fascinating areas of research, but I might have narrowed it down by the time I actually need to apply.

A tutor once told me to bypass the master's and go straight into PhD studies, but I think he was assuming I would be sticking to the same field as my undergraduate degree.

Do I need to transition with an MS in Astrophysics for more physics/astrophysics training, or should I apply directly for the PhD if I have already managed to choose a topic?

Which courses should I take in my graduating year to help my chances of successful study in astrophysics (I'm learning Python on the side)?

In my final undergraduate year, I must choose four from:

Complex Analysis,

Fluid Mechanics,

Deterministic & Stochastic Dynamics,

Optimisation,

Graphs and Networks,

Probability,

Statistics,

Quantum Theory,

and Electromagnetism.